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Finding the Fourth Proportional to 309,606.91, 464,456.53 and 109,910.57

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Solution

The fourth proportional to 309,606.91, 464,456.53 and 109,910.57 is: 164,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,606.91 : 464,456.53 = 109,910.57 : x
  2. Step 2: Convert to fraction form
    309,606.91/464,456.53 = 109,910.57/x
  3. Step 3: Cross multiply
    309,606.91x = 464,456.53 × 109,910.57
  4. Step 4: Simplify right side
    309,606.91x = 51,048,682,380.20
  5. Step 5: Solve for x
    x = 51,048,682,380.20/309,606.91
  6. Step 6: Final answer
    x = 164,882.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.